West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
College Board
Why We Use Theorem In Calculus
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
College Board
2005 AP® Calculus AB Free-Response Questions
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
College Board
2005 AP® Calculus BC Free-Response Questions
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
College Board
2008 AP® Calculus AB Free-Response Questions
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
College Board
Seeing Is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Curated OER
A.P. Calculus Practice Exam AB Version- Section I- Part B
In this A. P. Calculus AB instructional activity, learners solve seventeen multiple-choice problems with a graphing calculator. This instructional activity is designed as a practice test for the A.P. Exam and should be timed.
Curated OER
Applying the Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
Curated OER
AP Exam Rubrics/ Four Color Theorem
Twelfth graders review free response questions that are present on the AP exam. In this calculus lesson, 12th graders analyze the 4 color theorem that proved 4 colors were enough to color a map while still separating adjacent countries....
Curated OER
Worksheet 7
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Curated OER
Four Color Theorem
Learners identify and interpret how the Free Response questions are graded on an AP Exam. They also discuss coloring the included map, placing several examples on the board to determine the number of colors necessary to color each....
Curated OER
Using Riemann Sums
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
Curated OER
Worksheet 1
In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.